1 / 11

Fractal behavior of the BCC / FCC phase separation in iron-gold alloys

Fractal behavior of the BCC / FCC phase separation in iron-gold alloys Artur Błachowski 1 , Krzysztof Ruebenbauer 1 , Anna Rakowska 2,3 1 Mössbauer Spectroscopy Division, Institute of Physics, Pedagogical University, Kraków , Poland 2 Faculty of Materials Science and Ceramics,

egan
Download Presentation

Fractal behavior of the BCC / FCC phase separation in iron-gold alloys

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Fractal behavior of the BCC/FCC phase separation in iron-gold alloys Artur Błachowski 1, Krzysztof Ruebenbauer 1, Anna Rakowska 2,3 1Mössbauer Spectroscopy Division, Institute of Physics, Pedagogical University, Kraków, Poland 2Faculty of Materials Science and Ceramics, AGH University of Science and Technology, Kraków, Poland 3Institute of Metallurgy and Materials Science, Polish Academy of Science, Kraków, Poland

  2. Fe70Au30andFe50Au50 as-castandannealed 250ºC/24h + 500ºC/48h Fe-Au Phase Diagram BCC–Fe(Au) as-cast 3 at.% Au annealed~0 at.% Au FCC–Au(Fe) as-cast 33 at.% Fe annealed 23 at.% Fe Nanoparticles of FCC-Au(Fe) and BCC-Fe(Au) phases with diameter about 50nm!!! Ultra high-resolution scanning electron microscope SEM-FEG + EDS (Nova 200 NanoSEM) 200x – 300000x

  3. Fe70Au30 as-cast EDS results (1 μmscale) 14 at.% Au in dark regionsand45 at.% Au in bright regions

  4. Fe50Au50 as-cast EDS results (1 μmscale) 49 -56at.% Au

  5. Fe70Au30 annealed EDS results (1 μmscale) 14 at.% Au in dark regionsand45 at.% Au in bright regions

  6. Fe50Au50 annealed EDS results (1 μmscale) 19 at.% Au in dark regionsand75 at.% Au in bright regions

  7. What is fractal? – self-similarity – fractaldimension 1) mathematical fractal Sierpiński carpet and triangle, Mandelbrot set, Julia set,Barnsley’s fern (atractor) 2) natural fractal mountain landscape, window frost, cauliflower surface, blood vessels, exchange quotations

  8. Roughness method Imagewere pixelized into square pixels with L= 8 bits per pixel representing linear gray scale with the highest value (255) representing “white”. N= 2048 pixels vertical and M= 2375 pixels horizontal. logR log r r - pixel edge size fractal dimension

  9. Test d=1.903(4) d=1.8928

  10. Results diffusion limited aggregation (DLA) fractal d= 1.71

  11. Conclusions – self-similarity 500 μm 500 nm – fractal dimension similar to (hydrodynamic) DLA fractal

More Related